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4164248 = 231179599
BaseRepresentation
bin1111111000101010011000
321211120021102
433320222120
52031223443
6225130532
750252444
oct17705230
97746242
104164248
112394730
121489a48
13b2a56a
147a5824
15573cb8
hex3f8a98

4164248 has 32 divisors (see below), whose sum is σ = 8640000. Its totient is φ = 1865760.

The previous prime is 4164241. The next prime is 4164253. The reversal of 4164248 is 8424614.

It is a super-2 number, since 2×41642482 = 34681922811008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4164248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6653 + ... + 7251.

It is an arithmetic number, because the mean of its divisors is an integer number (270000).

Almost surely, 24164248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320000).

4164248 is an abundant number, since it is smaller than the sum of its proper divisors (4475752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4164248 is a wasteful number, since it uses less digits than its factorization.

4164248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 4164248 is about 2040.6489163989. The cubic root of 4164248 is about 160.8837554478.

It can be divided in two parts, 416 and 4248, that added together give a palindrome (4664).

The spelling of 4164248 in words is "four million, one hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 599 632 869 1198 1738 2396 3476 4792 6589 6952 13178 26356 47321 52712 94642 189284 378568 520531 1041062 2082124 4164248